可分为三部分的动力系统的合成方法
Composition Methods for Dynamical Systems Separable into Three Parts
摘要：
本文提出一类新的四阶复合方法，用于求解由常微分方程定义的初值问题的数值积分。当问题可以分成三个部分时，它们被设计成每个部分都是明确可解的。这些方法通过应用不同的优化准则得到，并通过构造保持了连续问题的几何性质。不同的数值例子表现出他们的改进性能相对于以前的分裂方法在文献中。
英文摘要：
New families of fourth-order composition methods for the numerical integration of initial value problems defined by ordinary differential equations are proposed. They are designed when the problem can be separated into three parts in such a way that each part is explicitly solvable. The methods are obtained by applying different optimization criteria and preserve geometric properties of the continuous problem by construction. Different numerical examples exhibit their improved performance with respect to previous splitting methods in the literature.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
